On Simplified Calculations of Leakage Inductances of Power Transformers

A zigzag transformer is a key segment of the electric power system. The optimal design of the zigzag transformer is important for transformer designers to provide a required return path for earth faults and to ensure proper operation of a power system. The two most important parameters of the zigzag transformers are no-load losses and leakage impedance. The accurate calculation of both factors helps to minimize the overall cost of the transformer. Therefore, the prediction of leakage reactance in the zigzag transformer using analytical or numerical methods is an essential part of the early designing stages of the transformer. This paper provides several two- and three-dimensional finite element models. The main purpose of these models is to evaluate the accuracy of the different models for the calculation of the leakage reactance. An analytical formula and a complete procedure for the calculation of the leakage reactance in the zigzag transformer are also provided, which will help the researchers and transformer designer to optimize this type of transformer. The prototype is also manufactured and tested to verify the accuracy of the analytical method and finite element models for the calculation of the leakage reactance. The simulation and experimental results show that the finite element calculation cannot only obtain accurate leakage reactance values (magnetostatic analysis), but also provides better accuracy in the no-load losses (transient analysis).

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“…The leakage reactance between the pair of zig and zag windings can be calculated by using (15) o zig zag zig zag zig-zag…”

Section: Reactance In Zigzag Transformersmentioning

confidence: 99%

Comparison of Analytical Method and Different Finite Element Models for the Calculation of Leakage Inductance in Zigzag Transformers

Dawood

Isik²,

Kömürgöz

2022

ELEKTRON ELEKTROTECH

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“…And when designing this transformer, a structure with a large short-circuit voltage is chosen. The effect of the magnitude of the short-circuit voltage is the leakage inductance, and research to calculate the leakage inductance in a transformer has been carried out for many years [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Research on the Method of Calculating Short-circuit Voltage for High-voltage Rectifier Transformer for Electrostatic Precipitation by Using the ANSYS Maxwell

Chol,

Nam Il,

Gun

2024

JEPES

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The high-voltage rectifier transformer for electrostatic precipitation is a transformer operated under constantly varying load conditions, i.e., no-load, rated, and short-circuit conditions, and it is important to set properly and to calculate the short-circuit voltage in its design to ensure the manufacturing cost of the transformer and safe operation of the transformer. In this paper, we analyzed and compared the calculation methods of leakage reactance traditionally used in transformer design and propose an approach using ANSYS Maxwell to calculate the leakage reactance more accurately. It can investigate an electromagnetic phenomenon happening in the transformer intuitionally and can perform the simulation for the practice operating process and the short-circuit test process directly using the ANSYS Maxwell program. In the post-processing, when ANSYS Maxwell has completed a solution because it can apply the various mathematical functions and some of these functions can operate along an entire curve, for example, dev, min, max, integ, avg, rms, and so on, it is afforded every facility for the analysis of the engineering calculations. The accuracy of the proposed method is verified by comparing the proposed method with conventional leakage reactance calculation methods and analyzing the error of the experimental results.

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“…The DDO with respect to time has been successfully applied to direct steady-state calculations of circuit models of electromagnetic devices in [14,15]. The DDO for 1D and 2D problems have been developed and applied in [23][24][25][26] for analysis of magneto-static field in a transformer window.…”

Section: Introductionmentioning

confidence: 99%

Direct Steady-State Calculation of Electromagnetic Devices Using Field-Circuit Models

2023

Self Cite

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Field-circuit models are very often used to model electromagnetic devices with conductive and non-linear magnetic materials. The numerical calculations of the field in the magnetic material must be combined with an equation of an external coil placed in the magnetic circuit. This means that the partial differential equations of the electromagnetic field in non-linear conductive materials and the non-linear ordinary differential equations must be solved together. Effective algorithms for solving such problems are still being developed. The article presents an algorithm directly providing the steady state solution without the simulation of transients. The basic assumption is that the solution can be predicted as a periodic time and space function, which is represented by appropriate Fourier series. The developed algorithm uses discrete partial differential operators for time and space derivatives. It allows us to create finite difference equations directly from the field and circuit equations, which take the form of algebraic equations, generally non-linear. This is a unique approach developed by us, which till now did not exist (and is not mentioned) in the literature. That algorithm is tested on a simple case of a solenoid coil with a ferromagnetic and conductive cylindrical core, in 2D space of radius and time. The calculation results confirm the effectiveness of the proposed approach both qualitatively, with regard to physical phenomena in ferromagnetic and conductive material, and quantitatively, in comparison with the results from specialized commercial software.

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On Simplified Calculations of Leakage Inductances of Power Transformers

Cited by 14 publications

References 14 publications

Comparison of Analytical Method and Different Finite Element Models for the Calculation of Leakage Inductance in Zigzag Transformers

Comparison of Analytical Method and Different Finite Element Models for the Calculation of Leakage Inductance in Zigzag Transformers

Research on the Method of Calculating Short-circuit Voltage for High-voltage Rectifier Transformer for Electrostatic Precipitation by Using the ANSYS Maxwell

Direct Steady-State Calculation of Electromagnetic Devices Using Field-Circuit Models

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